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Alex17521 [72]
2 years ago
6

Kyle works at a donut​ factory, where a​ 10-oz cup of coffee costs 95¢​, a​ 14-oz cup costs​ $1.15, and a​ 20-oz cup costs​ $1.5

0. During one busy​ period, Kyle served 29 cups of​ coffee, using 444 ounces of​ coffee, while collecting a total of ​$35.90. How many cups of each size did Kyle​ fill?
Kyle filled ___ 10-oz cup(s), ___ 14-oz cup(s), and ___ ​20-oz cup(s).
Mathematics
2 answers:
DerKrebs [107]2 years ago
6 0

Answer:

Kyle filled  4 servings of 10oz   16 servings of 14 oz  9 servings of 20 oz

Step-by-step explanation:

10oz  95c = x

14oz 1.15c = y

20oz 1.50c = z

444 given divided by 29 cups

= 444/29 = 15.3103448 average cup weight so the higher size were used more.  

9 servings of 20 oz cups = 180 = cost check at 1.50 x 9 = $13.50

16 servings of 14 oz cups = 224 = cost check at 16 x 1.15 = $18.40

4 servings of 10 oz cups = 40 = cost check at 4 x 0.95 = $3.80

Where given collection total said to be $35.90 we total 13.5+18.4+3.8 = 35.7 so we are 0.20 out and can try again.

OR just submit this.  4 servings of 10oz   16 servings of 14 oz  9 servings of 20 oz

Ainat [17]2 years ago
5 0

Answer:

10 oz: 7

14 oz: 8

20 oz: 6

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Solve the equation in two different ways. Choose one method of solving in detail 5x+7(x+1) = 5x - 21
frozen [14]

Answer:

METHOD 1:

5x+7(x+1)=5x-21

5x+7x+7=5x-21

12x+7=5x-21

12x-5x=-21-7

7x=-28

x=28/7

x=4

METHOD 2:

5x+7(x+1)=5x-21

5x+7(x+1)=5x-21-5x

7(x+1)=-21

7x+7=-21

7x=-28

x=4

Step-by-step explanation:

METHOD 1:

5x+7(x+1)=5x-21

5x+7x+7=5x-21

12x+7=5x-21

12x-5x=-21-7

7x=-28

x=28/7

x=4

METHOD 2:

5x+7(x+1)=5x-21

5x+7(x+1)=5x-21-5x

7(x+1)=-21

7x+7=-21

7x=-28

x=4

6 0
3 years ago
Evaluate this exponential expression.
Levart [38]

Answer:

(-27)^\dfrac{2}{3} = 9

Step-by-step explanation:

Given that,

Asn expression : (-27)^\dfrac{2}{3}

We need to evaluate the above expression.

We know that, (-3)^3=-27

So,

(-27)^\dfrac{2}{3}=(-3)^{3\times \dfrac{2}{3}}

or

=(-3)^2\\\\=-3\times -3\\\\=9

So, the value of (-27)^\dfrac{2}{3} is 9. Hence, the correct option is (b).

8 0
3 years ago
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